Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.
<u>Step-by-step explanation:</u>
Step 1:
Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.
Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.
Step 2:
Form an equation using the above information.
⇒ 9x + 5.25 (12-x) = 12 × 7.75
⇒ 9x + 63 - 5.25x = 93
⇒ 9x - 5.25x = 30
⇒ 3.75x = 30
⇒ x = 8
Number of macadamia nuts is 8 pounds.
Step 3:
Calculate number pounds of almonds
⇒ Number of pounds of almonds = 12 - x = 4 pounds.
We have:
Volume of cone = 535 cm³ at the maximum
Height of cone= 8cm
We know the formula to find volume of cone is
![\frac{1}{3} r^{2} \pi h](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20r%5E%7B2%7D%20%20%5Cpi%20h%20)
We need to find the radius of the base of the cone
![535= \frac{\pi r^{2}8} {3}](https://tex.z-dn.net/?f=535%3D%20%5Cfrac%7B%5Cpi%20%20r%5E%7B2%7D8%7D%20%7B3%7D%20)
![535*8= \pi r^{2}](https://tex.z-dn.net/?f=535%2A8%3D%20%5Cpi%20%20r%5E%7B2%7D%20)
![\frac{4280}{\pi}= r^{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4280%7D%7B%5Cpi%7D%3D%20r%5E%7B2%7D%20%20%20)
![r= \sqrt{ \frac{4280}{ \pi} }](https://tex.z-dn.net/?f=r%3D%20%5Csqrt%7B%20%5Cfrac%7B4280%7D%7B%20%5Cpi%7D%20%20%20%7D)
![r=36.9](https://tex.z-dn.net/?f=r%3D36.9)
to the nearest one decimal place
The width of the opening of the cone is the diameter of the circle. Diameter is twice the radius, hence 2×36.9=73.8 cm
Answer:
D
Step-by-step explanation:
Negative means it goes down and if its linear then th line needs to be straight.
Answer:
c on edg
Step-by-step explanation:
Answer:
hello your question is incomplete attached below is the complete question
answer : -2400 π
Step-by-step explanation:
dr/dt = -12 km/s
h = 2.5 km
r = 40 km at some instant
hence the rate of change of Volume of cylinder at that instance
= dv / dt =
=
= ![-\pi h *2r *dr/dt](https://tex.z-dn.net/?f=-%5Cpi%20h%20%2A2r%20%2Adr%2Fdt)
hence ; dv / dt = -2400 π